80,928,387

3² × 2677 × 3359

80,928,387 factors as 3^2 × 2677 × 3359. Its 12 positive divisors give a proper-divisor sum of 36,046,653, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3^2 × 2677 × 3359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 116,975,040

Proper Divisor Sum 36,046,653

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #80928377 ← → #80928431

Radix Representation

Decimal	80928387
Binary	100110100101101111010000011 (27 bits)
Octal	0o464557203
Hexadecimal	0x4D2DE83

Divisor Catalog (12)

1 3 9 2,677 3,359 8,031 10,077 24,093 30,231 8,992,043 26,976,129 80,928,387

Collatz Trajectory (210 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

80,928,387 242,785,162 121,392,581 364,177,744 182,088,872 91,044,436 45,522,218 22,761,109 68,283,328 34,141,664 17,070,832 8,535,416 4,267,708 2,133,854 1,066,927 3,200,782 1,600,391 4,801,174 2,400,587 7,201,762 3,600,881 10,802,644 5,401,322 2,700,661 8,101,984 4,050,992 2,025,496 1,012,748 506,374 253,187 759,562 379,781 1,139,344 569,672 284,836 142,418 71,209 213,628 106,814 53,407 160,222 80,111 240,334 120,167 360,502 180,251 540,754 270,377 811,132 405,566 202,783 608,350 304,175 912,526 456,263 1,368,790 684,395 2,053,186 1,026,593 3,079,780

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